9 billion names of God the integer: Difference between revisions
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1 9 30 54 70 71 65 52 41 30 22 15 11 7 5 3 2 1 1</pre> |
1 9 30 54 70 71 65 52 41 30 22 15 11 7 5 3 2 1 1</pre> |
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=={{header|Wren}}== |
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{{trans|Python}} |
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{{libheader|Wren-big}} |
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{{libheader|Wren-fmt}} |
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<lang ecmascript>import "/big" for BigInt |
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import "/fmt" for Fmt |
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var cache = [[BigInt.one]] |
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var cumu = Fn.new { |n| |
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if (cache.count <= n) { |
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(cache.count..n).each { |l| |
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var r = [BigInt.zero] |
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(1..l).each { |x| |
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var min = l - x |
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if (x < min) min = x |
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r.add(r[-1] + cache[l - x][min]) |
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} |
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cache.add(r) |
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} |
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} |
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return cache[n] |
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} |
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var row = Fn.new { |n| |
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var r = cumu.call(n) |
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return (0...n).map { |i| r[i+1] - r[i] }.toList |
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} |
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System.print("Rows:") |
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(1..25).each { |i| |
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Fmt.print("$2d: $s", i, row.call(i)) |
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} |
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System.print("\nSums:") |
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[23, 123, 1234, 12345].each { |i| |
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Fmt.print("$5s: $s", i, cumu.call(i)[-1]) |
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}</lang> |
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{{out}} |
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<pre> |
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Rows: |
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1: 1 |
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2: 1 1 |
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3: 1 1 1 |
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4: 1 2 1 1 |
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5: 1 2 2 1 1 |
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6: 1 3 3 2 1 1 |
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7: 1 3 4 3 2 1 1 |
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8: 1 4 5 5 3 2 1 1 |
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9: 1 4 7 6 5 3 2 1 1 |
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10: 1 5 8 9 7 5 3 2 1 1 |
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11: 1 5 10 11 10 7 5 3 2 1 1 |
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12: 1 6 12 15 13 11 7 5 3 2 1 1 |
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13: 1 6 14 18 18 14 11 7 5 3 2 1 1 |
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14: 1 7 16 23 23 20 15 11 7 5 3 2 1 1 |
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15: 1 7 19 27 30 26 21 15 11 7 5 3 2 1 1 |
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16: 1 8 21 34 37 35 28 22 15 11 7 5 3 2 1 1 |
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17: 1 8 24 39 47 44 38 29 22 15 11 7 5 3 2 1 1 |
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18: 1 9 27 47 57 58 49 40 30 22 15 11 7 5 3 2 1 1 |
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19: 1 9 30 54 70 71 65 52 41 30 22 15 11 7 5 3 2 1 1 |
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20: 1 10 33 64 84 90 82 70 54 42 30 22 15 11 7 5 3 2 1 1 |
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21: 1 10 37 72 101 110 105 89 73 55 42 30 22 15 11 7 5 3 2 1 1 |
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22: 1 11 40 84 119 136 131 116 94 75 56 42 30 22 15 11 7 5 3 2 1 1 |
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23: 1 11 44 94 141 163 164 146 123 97 76 56 42 30 22 15 11 7 5 3 2 1 1 |
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24: 1 12 48 108 164 199 201 186 157 128 99 77 56 42 30 22 15 11 7 5 3 2 1 1 |
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25: 1 12 52 120 192 235 248 230 201 164 131 100 77 56 42 30 22 15 11 7 5 3 2 1 1 |
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Sums: |
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23: 1255 |
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123: 2552338241 |
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1234: 156978797223733228787865722354959930 |
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12345: 69420357953926116819562977205209384460667673094671463620270321700806074195845953959951425306140971942519870679768681736 |
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</pre> |
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=={{header|Yabasic}}== |
=={{header|Yabasic}}== |